117728640 has 192 divisors, whose sum is σ = 422145360. Its totient is φ = 31352832.

The previous prime is 117728629. The next prime is 117728641. The reversal of 117728640 is 46827711.

117728640 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 117728595 and 117728604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117728641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155142 + ... + 155898.

Almost surely, 2^117728640 is an apocalyptic number.

117728640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211072680).

117728640 is an abundant number, since it is smaller than the sum of its proper divisors (304416720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117728640 is an frugal number, since it uses more digits than its factorization.

117728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 117728640 is about 10850.2829456194. The cubic root of 117728640 is about 490.1105401035.

The spelling of 117728640 in words is "one hundred seventeen million, seven hundred twenty-eight thousand, six hundred forty".